(Solved): Example 5 The figure shows an uneven arrangement of electrons (e) and protons \( (p) \) on a circu ...

Example 5 The figure shows an uneven arrangement of electrons (e) and protons \( (p) \) on a circular arc of radius \( r=2.00 \mathrm{~cm} \), with angles \( \theta_{1}=30.0^{\circ}, \theta_{2}=50.0^{\circ}, \theta_{3}=30.0^{\circ} \), and \( \theta_{4}=20.0^{\circ} \). What are the (a) magnitude and (b) direction (relative to the positive direction of the \( x \) axis) of the net electric field produced at the center of the arc?